1 cup (8oz, 224g) active sourdough starter (100% hydration)
3/4 cup (6 oz, 180 ml) warm water
1 cup (8 oz, 240 ml) whole milk, warmed to 110F
5 cups (25 oz, 700) all-purpose flour
¼ cup (2.5 oz, 75g) honey
1/4 cup (2 oz, 56g) vegetable oil
2 teaspoons salt
Combine the starter, water, milk and 2 cups of the flour in the bowl of a stand mixer or a large mixing bowl. Mix on low speed until combined. Cover the bowl and set aside for 30 minutes.
Add the honey, oil and salt and mix to combine. Switch to the dough hook if using a stand mixer. Add the remaining flour and knead until the dough clears the sides of the bowl and clings to the hook. Knead the dough for 2-3 minutes. If mixing by hand, add flour until you can no longer stir, then turn the dough out onto a floured surface to finish by hand.
Transfer the dough to a lightly oiled bow, turning once to coat the dough. Cover the bowl and set it aside at room temperature. After 30 minutes uncover the bowl, lift one side of the dough over into the middle of the dough. Repeat with the other three sides of the dough then flip the dough over. Cove the bowl and after 30 minutes repeat the procedure. Cover the bowl and after 60 minutes repeat the procedure. Cover the bowl and after 60 minutes repeat the procedure one last time. By now the dough should be lively, elastic and airy. If the dough is still sluggish give it another hour or two at room temperature.
Turn the dough from the bowl and knead briefly to form a smooth ball. Lightly sprinkle your work surface with cornmeal. Roll the dough to 3/8” thick. Cut muffins with a 3” biscuit cutter. Reroll the scraps and continue cutting until all the dough is used. You should get about 16 muffins. Place the muffins on an ungreased baking sheet. Cover the pan and let the muffins rise until almost doubled in volume, about 1 hour.
Preheat a griddle or cast-iron pan over medium-high heat. Reduce the heat to medium-low and lightly oil the pan. "Bake" the muffins for about 8 minutes on each side until well-risen and deep golden brown. Keep an eye on the heat so the muffins don't burn. Adjust the heat as needed. Cool on wire rack. To serve, split and toast.
The muffins freeze very well.